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arXiv · 2404.02355

Quasi-selfadjoint extensions of dual pairs of linear relations

Guixin Xu·Guojing Ren
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Abstract

This paper investigates quasi-selfadjoint extensions of dual pairs of linear relations in Hilbert spaces. Some properties of dual pairs of linear relations are given and an Hermitian linear relation associated with a dual pair of linear relations is introduced. Necessary and sufficient conditions for quasi-selfadjoint extensions of dual pairs of linear relations are obtained. These results extends the corresponding results for dual pairs of linear operators to dual pairs of linear relations.

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Guixin Xu, Guojing Ren. 2024-04-02. Quasi-selfadjoint extensions of dual pairs of linear relations. https://arxiv.org/abs/2404.02355

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